Hjem
Bjørn Ian Dundass bilde

Bjørn Ian Dundas

Professor
  • E-postBjorn.Dundas@uib.no
  • Telefon+47 55 58 28 27
  • Besøksadresse
    Realfagbygget, Allégt. 41
  • Postal Address
    Postboks 7803
    5020 Bergen
Bøker
  • Dundas, Bjørn Ian. 2018. A short course in differential topology. Cambridge University Press. 264 sider. ISBN: 9781108425797.
  • Dundas, Bjørn Ian; McCarthy, Randy; Goodwillie, Tomas. 2013. The local structure of algebraic K-theory. 435 sider. ISBN: 978-1-4471-4393-2.
  • Dundas, Bjørn Ian; Levine, Marc; Østvær, Paul Arne; Röndigs, Oliver; Voevodsky, Vladimir. 2007. Motivic homotopy theory: Lectures at a summer school in Nordfjordeid, Norway, August 2002. Springer. 220 sider. ISBN: 3-540-45895-6.
  • Rossing, Nils Kristian; Dundas, Bjørn Ian. 2003. Gummistrikkgeometri - fra matematikkens magiske skattekiste. 202 sider. ISBN: 82-92088-19-9.
Tidsskriftartikler
  • Dundas, Bjørn Ian; Lindenstrauss, Ayelet; Richter, Birgit. 2018. Towards an understanding of ramified extensions of structured ring spectra. Mathematical proceedings of the Cambridge Philosophical Society (Print). 1-20. doi: 10.1017/S0305004118000099
  • Dundas, Bjørn Ian; Lindenstrauss, Ayelet; Richter, Birgit. 2018. On higher topological Hochschild homology of rings of integers. Mathematical Research Letters. 25: 489-507. doi: 10.4310/MRL.2018.v25.n2.a7
  • Dundas, Bjørn Ian; Rognes, John. 2018. Cubical and cosimplicial descent. Journal of the London Mathematical Society. 98: 439-460. doi: 10.1112/jlms.12141
  • Dundas, Bjørn Ian; Skau, Christian Fredrik. 2018. Interview with Abel Laureate Robert P. Langlands. EMS Newsletter. sept: 19-27.
  • Dundas, Bjørn Ian; Skau, Christian Fredrik. 2018. Interview with Abel Laureate Yves Meyer. Notices of the American Mathematical Society. 65: 520-529.
  • Dundas, Bjørn Ian; Morrow, Matthew. 2017. Finite generation and continuity of topological Hochschild and cyclic homology. Annales Scientifiques de l'Ecole Normale Supérieure. 50: 201-208. doi: 10.24033/asens.2319
  • Dundas, Bjørn Ian; Skau, Christian Fredrik. 2017. Interview with Abel Laureate Yves Meyer. EMS Newsletter. 105: 14-22.
  • Dundas, Bjørn Ian; Tenti, Andrea. 2017. Higher Hochschild homology is not a stable invariant. Mathematische Zeitschrift. 290: 145-154. doi: 10.1007/s00209-017-2012-y
  • Baas, Nils Andreas; Dundas, Bjørn Ian; Richter, Birgit; Rognes, John. 2013. Ring completion of rig categories. Journal für die Reine und Angewandte Mathematik. 674: 43-80. doi: 10.1515/crelle.2012.024
  • Dundas, Bjørn Ian; Kittang, Harald Øyen. 2013. Integral excision for K-theory. Homology, Homotopy and Applications. 15: 1-25. doi: 10.4310/HHA.2013.v15.n1.a1
  • Baas, Nils Andreas; Dundas, Bjørn Ian; Richter, Birgit; Rognes, John. 2011. Stable bundles over rig categories. Journal of Topology. 4: 623-640. doi: 10.1112/jtopol/jtr016
  • Carlsson, Gunnar; Douglas, Christopher L.; Dundas, Bjørn Ian. 2011. Higher topological cyclic homology and the Segal conjecture for tori. Advances in Mathematics. 226: 1823-1874. doi: 10.1016/j.aim.2010.08.016
  • Brun, Morten; Carlsson, Gunnar; Dundas, Bjørn Ian. 2010. Covering homology. Advances in Mathematics. 225: 3166-3213. doi: 10.1016/j.aim.2010.05.018
  • Ausoni, Christian; Dundas, Bjørn Ian; Rognes, John. 2008. Divisibility of the Dirac Magnetic Monopole as a Two-Vector Bundle over the Three-Sphere. Documenta Mathematica. 13: 795-801.
  • Dundas, Bjørn Ian; Kittang, Harald. 2008. Excision for K-theory of connective ring spectra. Homology, Homotopy and Applications. 10: 29-39.
  • Baas, Nils Andreas; Dundas, Bjørn Ian; Rognes, J. 2004. Two-Vectorbundles and Forms of Elliptic Cohomology. Cambridge University Press. 18-45.
  • Dundas, Bjørn Ian. 2004. The cyclotomic trace for S-algebras. Journal of the London Mathematical Society. 659-677.
  • Dundas, Bjørn Ian; Østvær, Paul Arne; Röndigs, Oliver. 2003. Enriched functors and stable homotopy theory. Documenta Mathematica. 409-488.
  • Dundas, Bjørn Ian; Østvær, Paul Arne; Röndigs, Oliver. 2003. Motivic functors. Documenta Mathematica. 489-525.
  • Dundas, Bjørn Ian. 2001. Localization of V-categories. Theory and Applications of Categories. 10: 284-312.
  • Dundas, Bjørn Ian. 2000. The cyclotomic trace for symmetric monoidal categories. Contemporary Mathematics. 258: 121-143.
  • Dundas, Bjørn Ian. 2000. The Cyclotomic trace for symmetric monoidal categories. Contemporary Mathematics. 258: 121-144.
  • Dundas, Bjørn Ian. 1999. K-theory of simplicial rings and degreewise constructions. K-theory. 18: 77-92.
  • Dundas, Bjørn Ian. 1999. Degreewise K-theory. K-theory. 18: 77-92.
  • Dundas, Bjørn Ian. 1998. Continuity of K-theory : an example in equal characteristics. Proceedings of the American Mathematical Society. 126: 1287-1291.
  • Dundas, Bjørn Ian. 1998. K-theory theorems in topological cyclic homology. Journal of Pure and Applied Algebra. 129: 23-33.
  • Dundas, Bjørn Ian. 1998. K-theory theorems in topological cyclic homology. Journal of Pure and Applied Algebra. 129: 23-33.
  • Dundas, Bjørn Ian. 1998. Continuity of K-theory: an example in equal characteristics. Proceedings of the American Mathematical Society. 126: 1287-1291.
  • Dundas, Bjørn Ian. 1997. Relative K-theory and topological cyclic homology. Acta Mathematica. 179: 223-242.
  • Dundas, Bjørn Ian. 1997. Relative K-theory and topological cyclic homology. Acta Mathematica. 179: 223-242.
  • Dundas, Bjørn Ian; McCarthy, Randy. 1996. Topological Hochschild homology of ring functors and exact categories. Journal of Pure and Applied Algebra. 109: 231-294.
  • Dundas, Bjørn Ian; McCarthy, Randy. 1996. Topological Hochschild homology of ring functors and exact categories. Journal of Pure and Applied Algebra. 109: 231-294.
  • Dundas, Bjørn Ian; McCarthy, Randy. 1994. Stable K-theory and topological Hochschild homology. Annals of the Institute of Statistical Mathematics. 140: 685-701.
  • Dundas, Bjørn Ian; McCarthy, Randy. 1994. Stable K-theory and topological Hochschild homology. Annals of Mathematics. 140: 685-701.
  • Dundas, Bjørn Ian. 1993. Fibrations and homology sphere bordism. Mathematica Scandinavica. 72: 20-28.
  • Dundas, Bjørn Ian. 1993. Fibrations and homology sphere bordism. Mathematica Scandinavica. 72: 20-28.
Rapporter/avhandlinger
  • Dundas, Bjørn Ian; Carlsson, Gunnar. 2006. Higher topological cyclic homology. Institut Mittag-Leffler. 51 sider.
  • Baas, Nils Andreas; Dundas, Bjørn Ian; Rognes, J. 2003. Two-vector bundles and forms of elliptic cohomology. [Mangler utgivernavn].
Bokkapitler
  • Dundas, Bjørn Ian. 2007. Prerequisites in Algebraic Topology the Nordfjordeid Summer School on Motivic Homotopy Theory. Artikkel, sider 1-67. I:
    • Dundas, Bjørn Ian; Levine, Marc; Østvær, Paul Arne; Röndigs, Oliver; Voevodsky, Vladimir. 2007. Motivic homotopy theory: Lectures at a summer school in Nordfjordeid, Norway, August 2002. Springer. 220 sider. ISBN: 3-540-45895-6.

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Fields of competence